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Finding the Fourth Proportional to 786.77, 1,082.59 and 765.24

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Solution

The fourth proportional to 786.77, 1,082.59 and 765.24 is: 1,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.77 : 1,082.59 = 765.24 : x
  2. Step 2: Convert to fraction form
    786.77/1,082.59 = 765.24/x
  3. Step 3: Cross multiply
    786.77x = 1,082.59 × 765.24
  4. Step 4: Simplify right side
    786.77x = 828,441.17
  5. Step 5: Solve for x
    x = 828,441.17/786.77
  6. Step 6: Final answer
    x = 1,052.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.